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graphs The Milk Bottle Project
A project suitable for Advanced level students.
A pint from Dairy Crest
[27]
bottle1
Can you find a combination of parametric equations that model the shape of a milk bottle? And from these equations obtain an estimate for the volume and the surface area of the bottle? Send in your solutions. Please include a photo or diagram of the milk bottle.
All examples below have been created using Omnigraph and are drawn from a large number of parametric equations [given in brackets]. Click on the name to download the Omnigraph file itself.

Examples
Created Summer 2002 by Further Maths students at the Hewett School, Norwich

bottle 2
1. Kit's [30]
bottle 4
2. Gary's [16]
bottle 3
3. Andrew's [13]
bottle 5
4. Ernest's [16]
bottle 6
5. George's [33 + 17 for the title]
Here is the set of 30 parametric equations that creates example 1
equations

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